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Atlas › Integer Profiles › Node 64,401,136

64,401,136

24 × 31 × 129841
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 31 × 129841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 128,803,264
Proper Divisor Sum 64,402,128
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #64401133 ← → #64401149

Radix Representation

Decimal 64401136
Binary 11110101101010111011110000 (26 bits)
Octal 0o365527360
Hexadecimal 0x3D6AEF0

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 129,841 259,682 519,364 1,038,728 2,077,456 4,025,071 8,050,142 16,100,284 32,200,568 64,401,136

Collatz Trajectory (264 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

64,401,136 32,200,568 16,100,284 8,050,142 4,025,071 12,075,214 6,037,607 18,112,822 9,056,411 27,169,234 13,584,617 40,753,852 20,376,926 10,188,463 30,565,390 15,282,695 45,848,086 22,924,043 68,772,130 34,386,065 103,158,196 51,579,098 25,789,549 77,368,648 38,684,324 19,342,162 9,671,081 29,013,244 14,506,622 7,253,311 21,759,934 10,879,967 32,639,902 16,319,951 48,959,854 24,479,927 73,439,782 36,719,891 110,159,674 55,079,837 165,239,512 82,619,756 41,309,878 20,654,939 61,964,818 30,982,409 92,947,228 46,473,614 23,236,807 69,710,422 34,855,211 104,565,634 52,282,817 156,848,452 78,424,226 39,212,113 117,636,340 58,818,170 29,409,085 88,227,256

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